Answer:
[tex] - 6 < x < 1[/tex]
Step-by-step explanation:
first things first:
[tex] - 7 < 2x + 5 \\ - 7 - 5 < 2x + 5 - 5 \\ - 12 < 2x \\ - 6 < x[/tex]
now:
[tex]2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1 [/tex]
now the intersection is:
[tex] - 6 < x < 1[/tex]
